Georgiev, Svetlin G.2021-08-052021-08-052007-04-04Georgiev, S. G. (2007). Positive periodic solutions for the Korteweg-de Vries equation. <i>Electronic Journal of Differential Equations, 2007</i>(49), pp. 1-13.1072-6691https://hdl.handle.net/10877/14210In this paper we prove that the Korteweg-de Vries equation ∂tu + ∂3xu + u∂xu = 0 has unique positive solution u(t, x) which is ⍵-periodic with respect to the time variable t and u(0, x) ∈ Ḃγp,q ([α, b]), γ > 0, γ ∉ {1, 2,...}, p > 1, q ≥ 1, α < b are fixed constants, x ∈ [α, b]. The period ⍵ > 0 is arbitrary chosen and fixed.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear evolution equationKortewg de Vries equationPeriodic solutionsArticle